103313331013200 has 720 divisors, whose sum is σ = 433525055477760. Its totient is φ = 20775194496000.

The previous prime is 103313331013153. The next prime is 103313331013219. The reversal of 103313331013200 is 2310133313301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17474511 + ... + 22627089.

It is an arithmetic number, because the mean of its divisors is an integer number (602118132608).

Almost surely, 2^{103313331013200} is an apocalyptic number.

103313331013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103313331013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216762527738880).

103313331013200 is an abundant number, since it is smaller than the sum of its proper divisors (330211724464560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103313331013200 is a wasteful number, since it uses less digits than its factorization.

103313331013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152656 (or 5152638 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 103313331013200 its reverse (2310133313301), we get a palindrome (105623464326501).

The spelling of 103313331013200 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirty-one million, thirteen thousand, two hundred".